NDLI: Nonlinear Programming via König’s Maximum Theorem

Content Provider	Springer Nature Link
Author	Montiel López, P. Ruiz Galán, M.
Copyright Year	2016
Abstract	Starting from one extension of the Hahn–Banach theorem, the Mazur–Orlicz theorem, and a not very restrictive concept of convexity, that arises naturally in minimax theory, infsup-convexity, we derive an equivalent version of that fundamental result for finite dimensional spaces, which is a sharp generalization of König’s Maximum theorem. It implies several optimal statements of the Lagrange multipliers, Karush/Kuhn–Tucker, and Fritz John type for nonlinear programs with an objective function subject to both equality and inequality constraints.
Ending Page	852
Page Count	15
Starting Page	838
File Format	PDF
ISSN	00223239
e-ISSN	15732878
Journal	Journal of Optimization Theory and Applications
Issue Number	3
Volume Number	170
Language	English
Publisher	Springer US
Publisher Date	2016-05-31
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Optimality conditions, duality Karush/Kuhn–Tucker theorem Theory of Computation Separation theorem Infsup-convexity Hahn–Banach theorem Optimization Engineering Fritz John theorem Lagrange multipliers Calculus of Variations and Optimal Control; Optimization Convexity, generalizations Nonlinear programming Applications of Mathematics Operation Research/Decision Theory Theorems of Hahn-Banach type; extension and lifting of functionals and operators
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Control and Optimization Management Science and Operations Research

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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